Metaphysics & Free Will and Determinism Flashcards
Qualitative Identity
To say X and Y are qualitatively identical is to say they are exactly similar.
Numerical Identity
To say that X and Y are numerically identical means they are one and the same thing. E.g. a seedling that grows into a tree.
The Law of Non-contradiction
A fundamental law of logic that a statement and its denial cannot both be true at the same time.
Equivocation
Using an ambiguous term in more than one sense, thus making an argument equivocal.
E.g.:
P1: Noisy children are a headache.
P2: Two aspirin will make a headache go away.
C: Therefore, two aspirin will make children go away.
Paradox
A collection of claims that seem plausible individually, but collectively seem logically impossible or absurd. Can involve a contradiction.
Physical Possibility/Impossibility
Physical possibility is compatible with physical laws, physical impossibility isn’t.
Logically Possible
A logically possible proposal cannot be self-contradictory.
Logical Impossibility
A logically impossible proposal is self-contradictory. E.g. the earth is both a sphere and a cube.
Personal Time
Roughly that which is measured by a time traveller’s wristwatch.
Four Dimensionalism
Block Universe Theory + Perdurantism
Perdurantism
- Objects and persons perdure/pesist over time and have temporal parts/stages.
- In one given moment, only one temporal part of an object/person exists.
- All temporal parts in the lifetime constitutes to the whole.
Block Universe Theory
- Present is real and exists - its special status an illusion.
- No significant distinction between past, present and future.
- Past and future are real and exist but are fixed.
- Doesn’t acknowledge any passing/flow of time.
Endurantism
A person/object endures over time. They are wholly present at every moment of their existence.
Lewis’ solution to all arguments against time travel
“Not an impossibility, just an oddity…”
Time Discrepancy Argument Against Time Travel
P1: if time travel is possible it must be possible for the time separating Tim’s departure from Tim’s arrival to be both 5 mins and not 5 mins but 40 yrs
P2: It is not possible for the time separating Tim’s departure from Tim’s arrival to be both 5 mins and not 5 mins but 40 years
C: Therefore time travel is not possible
Lewis’ solution to the time discrepancy argument
No contradiction. Time separating Tim’s arrival from Tim’s departure is 5 mins relative to personal time and 5 mins relative to external time. Both can be true.
Identity crisis Argument against time travel
P1: if time travel is possible it must be possible for the same person to be present in more than one location at the same time
P2: it is not possible for the same person to be present in more than one location at the same time
C: therefore time travel is not possible
Lewis solution to the identity crisis paradox
If we accept four-dimensionalism which includes Perdurantism it is possible for two temporal parts of one numerically distinct person to be in two locations at the same time with no contradiction
Closed causal loops argument against time travel
P1: if time travel is possible, then closed causal loops and other inexplicable events must be possible
P2: It is not possible for there to be closed causal loops or other inexplicable events
P3: therefore time travel is not possible
Lewis solution to the closed causal loops argument against time travel
P1: closed causal loops, god, Big Bang, universes entire past and decay of a tritium atom are uncaused and inexplicable
P2: we accept god, Big Bang, universes entire past and decay of a tritium atom are possible
C: therefore we should also accept that closed causal loops are possible
Grandfather paradox against time travel
P1: if time travel is possible, then Tim both can and cannot kill his grandfather
P2: It is not possible that Tim both can and cannot kill his grandfather
C: therefore time travel isn’t possible
Lewis solution to the grandfather paradox
Can is equivocal. Relative to a narrow set of facts, Tim can kill his grandfather, Tim can kill his grandfather, but relative to a broader more inclusive set of facts Tim cannot kill his grandfather. Both can be true with no contradiction
Logical contradiction
Putting forward a statement and its own denial simultaneously. Conjunction of P with its own denial of not-P.
Physically possible ways of time travel (scientifically)
- Wormholes
- Black holes
- Travelling near speed of light